875 research outputs found
Adiabatic Effective Action for Vortices in Neutral and Charged Superfluids
Adiabatic effective action for vortices in neutral and charged superfluids at
zero temperature are calculated using the topological Landau-Ginzburg theory
recently proposed by Hatsuda, Yahikozawa, Ao and Thouless, and vortex dynamics
are examined. The Berry phase term arising in the effective action naturally
yields the Magnus force in both neutral and charged superfluids.
It is shown that in neutral superfluid there is only one degree of freedom,
namely the center of vorticities, and the vortex energy is proportinal to the
sum of all vorticities so that it is finite only for the vanishing total
vorticity of the system.
On the other hand the effective mass and the vortex energy for a vortex in
charged superfluids are defined individually as expected. The effects of the
vortex core on these quantities are also estimated. The possible depinning
scenario which is governed by the Magnus force and the inertial mass is also
discussed.Comment: 26 page
BPS Analysis of the Charged Soliton Solutions of D-brane Worldvolume Theory from the Viewpoint of Target-space Supersymmetry
We investigate BPS properties of the charged soliton solutions of D-brane
worldvolume theory, which is described by the supersymmetric Dirac-Born-Infeld
action, by means of the N=2 target-space supersymmetry algebra. Our results
agree with those obtained previously. We also extend our BPS analysis to the
case where axion background exists.Comment: 11 pages, LaTeX, 3 eps figures, v2: references corrected, a note
added, minor changes, v3: references corrected, notes added, equations added,
discussions adde
Hadron-quark continuity induced by the axial anomaly in dense QCD
We investigate the interplay between the chiral and diquark condensates on
the basis of the Ginzburg-Landau potential with QCD symmetry. We demonstrate
that the axial anomaly drives a new critical point at low temperature in the
QCD phase diagram and leads to a smooth crossover between the hadronic and
color superconducting phases.Comment: 4 pages, 5 figures, to appear in the Proceedings of Quark Matter 2006
held in Shangha
In-medium pi-pi Correlation Induced by Partial Restoration of Chiral Symmetry
We show that both the linear and the non-linear chiral models give an
enhancement of the pi-pi cross section near the 2pi threshold in the
scalar-iso-scalar (I=J=0) channel in nuclear matter. The reduction of the
chiral condensate, i.e., the partial chiral restoration in nuclear matter, is
responsible for the enhancement in both cases. We extract an effective
4pi-nucleon vertex which is responsible for the enhancement but has not been
considered in the non-liear models for in-medium pi-pi interaction. Relation of
this vertex and a next-to-leading order terms in the heavy-baryon chiral
lagrangian, L_piN^(2), is also discussed.Comment: 5 pages, 5 eps figure, REVTe
Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
First principle calculation of the QCD spectral functions (SPFs) based on the
lattice QCD simulations is reviewed. Special emphasis is placed on the Bayesian
inference theory and the Maximum Entropy Method (MEM), which is a useful tool
to extract SPFs from the imaginary-time correlation functions numerically
obtained by the Monte Carlo method. Three important aspects of MEM are (i) it
does not require a priori assumptions or parametrizations of SPFs, (ii) for
given data, a unique solution is obtained if it exists, and (iii) the
statistical significance of the solution can be quantitatively analyzed.
The ability of MEM is explicitly demonstrated by using mock data as well as
lattice QCD data. When applied to lattice data, MEM correctly reproduces the
low-energy resonances and shows the existence of high-energy continuum in
hadronic correlation functions. This opens up various possibilities for
studying hadronic properties in QCD beyond the conventional way of analyzing
the lattice data. Future problems to be studied by MEM in lattice QCD are also
summarized.Comment: 51 pages, 17 figures, typos corrected, discussions on the boundary
conditions and renormalization constants added. To appear in Progress in
Particle and Nuclear Physics, Vol.4
Hadronic Spectral Functions above the QCD Phase Transition
We extract the spectral functions in the scalar, pseudo-scalar, vector, and
axial vector channels above the deconfinement phase transition temperature (Tc)
using the maximum entropy method (MEM). We use anisotropic lattices, 32^3 * 32,
40, 54, 72, 80, and 96 (corresponding to T = 2.3 Tc --> 0.8 Tc), with the
renormalized anisotropy xi = 4.0 to have enough temporal data points to carry
out the MEM analysis. Our result suggests that the spectral functions continue
to possess non-trivial structures even above Tc and in addition that there is a
qualitative change in the state of the deconfined matter between 1.5 Tc and 2
Tc.Comment: 3 pages, 4 figures, Lattice2002(nonzerot
Charmonia above the Deconfinement Phase Transition
Analyzing correlation functions of charmonia at finite temperature () on
anisotropic lattices by the maximum entropy method (MEM),
we find that and survive as distinct resonances in the plasma
even up to and that they eventually dissociate between and ( is the critical temperature of deconfinement). This
suggests that the deconfined plasma is non-perturbative enough to hold
heavy-quark bound states. The importance of having sufficient number of
temporal data points in the MEM analysis is also emphasized.Comment: Lattice2003(nonzero), 3 pages, 3 figure
Expanding Lie (super)algebras through abelian semigroups
We propose an outgrowth of the expansion method introduced by de Azcarraga et
al. [Nucl. Phys. B 662 (2003) 185]. The basic idea consists in considering the
direct product between an abelian semigroup S and a Lie algebra g. General
conditions under which relevant subalgebras can systematically be extracted
from S \times g are given. We show how, for a particular choice of semigroup S,
the known cases of expanded algebras can be reobtained, while new ones arise
from different choices. Concrete examples, including the M algebra and a
D'Auria-Fre-like Superalgebra, are considered. Finally, we find explicit,
non-trace invariant tensors for these S-expanded algebras, which are essential
ingredients in, e.g., the formulation of Supergravity theories in arbitrary
space-time dimensions.Comment: 42 pages, 8 figures. v2: Improved figures, updated notation and
terminolog
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